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Application of Wavelet-Basis for Solution of the Fredholm Type Integral Equations

  • Carlo Cattani
  • Aleksey Kudreyko
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6017)

Abstract

The paper deals with the application of periodic wavelts as basis functions for solution of the Fredholm type integral equations. We examine a special case for a degenerate kernel and show multiscale solution of an integral equation for a non-degenerate kernel. The benefits of the application of periodic harmonic wavelets are discussed. The approximation error of projection of solution on the space of periodized wavelets is analytically estimated.

Keywords

Fredholm integral equations integro-differential equation periodized harmonic wavelets degenerate kernels collocation method decomposition 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Carlo Cattani
    • 1
  • Aleksey Kudreyko
    • 2
  1. 1.diFarmaUniversity of SalernoFiscianoItaly
  2. 2.Department of Mathematics and Computer ScienceUniversity of SalernoFiscianoItaly

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